Given the proportion a/b =8/15, what ratio completes the equivalent proportion a/8=?

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JackelineCasarez JackelineCasarez · Answer 1 · 2019-01-28T04:49:50-05:00

Answer:

\(The\ ratio\ completes\ the\ equivalent\ proportion\ \frac{a}{8}= \frac{b}{15}.\)

Step-by-step explanation:

As given the proporation equation in question be as follows .

\(\frac{a}{b} = \frac{8}{15}\)

Thus

\(a= \frac{8b}{15}\)

\(\frac{a}{8}=\frac{\frac{8b}{15}}{8}\)

\(\frac{a}{8}=\frac{b}{15}\)

\(Therefore\ the\ ratio\ completes\ the\ equivalent\ proportion\ \frac{a}{8}= \frac{b}{15}.\)

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boffeemadrid boffeemadrid · Answer 2 · 2019-03-07T11:27:01-05:00

Answer:

\(\frac{a}{8}=\frac{b}{15}\)

Step-by-step explanation:

Given: The proportion \(\frac{a}{b}=\frac{8}{15}\).

To find: what ratio completes the equivalent proportion \(\frac{a}{8}\).

Solution: The given proportion is:

\(\frac{a}{b}=\frac{8}{15}\)

Multiplying b on both the sides of the given proportion, we have

\(\frac{a}{b}{\times}b=\frac{8}{15}{\times}b\)

\(a=\frac{8b}{15}\)

Now, dividing by 8 on both sides, we get

\(\frac{a}{8}=\frac{8b}{15}{\times}\frac{1}{8}\)

\(\frac{a}{8}=\frac{b}{15}\)

which is the required equivalent proportion.